Abstract
A method for the most efficient removal of heat, through an anisotropic composite, is proposed. It is shown that a rational placement of constituent materials, in the radial and the azimuthal directions, at a given point in the composite yields a uniform temperature distribution in spherical diffusers. Such arrangement is accompanied by a very significant reduction of the source temperature, in principle, to infinitesimally above the ambient temperature and forms the basis for the design of a perfect thermal diffuser with maximal heat dissipation. Orders of magnitude enhanced performance, compared to that obtained through the use of a diffuser constituted from a single material with isotropic thermal conductivity has been observed and the analytical principles underlying the design were validated through extensive computational simulations.
Highlights
A method for the most efficient removal of heat, through an anisotropic composite, is proposed
Spherical/cylindrical thermal energy diffusers based on such considerations yield nonlinear temperature distribution and concomitant non-uniform heat flux
As a solution to the above shortcomings we report on the fundamental notion of an optimal materials arrangement necessary for the most efficient removal of heat, in which a linear temperature profile along with the desirable characteristic of isotropic heat transfer would be obtained
Summary
While Eqn 3(a) predicts a logarithmic temperature variation, it is apparent from Eqn 3(b) that a linear temperature profile is obtained through the use of an anisotropic materials architecture: Fig. 3(B). The latter attribute yields a lower temperature at the source (r =Ri) by an amount, ΔTr=Ri , obtained by subtracting (3b) from (3a), and is:. The marked points ( ) indicate results from the computational simulations
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